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Universality classes for the coalescent structure of heavy-tailed Galton–Watson trees

Universality classes for the coalescent structure of heavy-tailed Galton–Watson trees

Consider a population evolving as a critical continuous-time Galton–Watson (GW) tree. Conditional on the population surviving until a large time T, sample k individuals uniformly at random (without replacement) from amongst those alive at time T. What is the genealogy of this sample of individuals? In cases where the offspring …